Metamath Proof Explorer


Theorem zringabl

Description: The ring of integers is an (additive) abelian group. (Contributed by AV, 13-Jun-2019)

Ref Expression
Assertion zringabl ring ∈ Abel

Proof

Step Hyp Ref Expression
1 zringring ring ∈ Ring
2 ringabl ( ℤring ∈ Ring → ℤring ∈ Abel )
3 1 2 ax-mp ring ∈ Abel